What is expand (0.3x-0.5a)^2 ?

The solution to expand (0.3x-0.5a)^2 is 0.09x^2-0.3ax+0.25a^2

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expand (0.3x-0.5a)^2

expand

(0.3 x - 0.5 a)^{2}

0.09 x^{2} - 0.3 a x + 0.25 a^{2}

Solution steps

(0.3 x - 0.5 a)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(0.3 x - 0.5 a)^{2} = (0.3 x)^{2} - 2 \cdot 0.3 x \cdot 0.5 a + (0.5 a)^{2}

= (0.3 x)^{2} - 2 \cdot 0.3 x \cdot 0.5 a + (0.5 a)^{2}

Simplify

(0.3 x)^{2} - 2 \cdot 0.3 x \cdot 0.5 a + (0.5 a)^{2} : 0.09 x^{2} - 0.3 a x + 0.25 a^{2}

= 0.09 x^{2} - 0.3 a x + 0.25 a^{2}

9 x - 40 + 3 x + 20

x \times (- 2)

sin^{4} (x) - cos^{4} (x)

(42)^{2}

40 \times 5

What is expand (0.3x-0.5a)^2 ?
The solution to expand (0.3x-0.5a)^2 is 0.09x^2-0.3ax+0.25a^2